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d1i1m1o1n [39]
3 years ago
10

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centime

ters. He will make the "X" by stretching red ribbon diagonally from corner to corner
Mathematics
1 answer:
zheka24 [161]3 years ago
6 0

Answer:

34 cm

Step-by-step explanation:

The actual question is How many inches of ribbon Peter will need to make the "X".

Using the Pythagorean theorem, the length of the diagonal of a square with 12 cm sides is:

d^2=12^2+12^2\\d=\sqrt{288}\\ d=16.97\ cm

Since the "X" requires two diagonals, the length of ribbon required is:

L=2*16.97\\L=34\ cm

The length required, rounded to the nearest centimeter, is 34 cm.

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kupik [55]
I:2x – y + z = 7
II:x + 2y – 5z = -1
III:x – y = 6

you can first use III and substitute x or y to eliminate it in I and II (in this case x):
III: x=6+y
-> substitute x in I and II:
I': 2*(6+y)-y+z=7
12+2y-y+z=7
y+z=-5

II':(6+y)+2y-5z=-1
3y+6-5z=-1
3y-5z=-7

then you can subtract II' from 3*I' to eliminate y:
3*I'=3y+3z=-15

3*I'-II':
3y+3z-(3y-5z)=-15-(-7)
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insert z in II' to calculate y:
3y-5z=-7
3y+5=-7
3y=-12
y=-4

insert y into III to calculate x:
x-(-4)=6
x+4=6
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so the solution is
x=2
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3 0
3 years ago
Given the functions f(x)=1x−2+1 and g(x)=1x+5+9 .
____ [38]
For this problem you would look at the difference between the two equations. Left and right is determined by the -2 and the +5 in the problems, to get from -2 to +5, you would add 7 but (and i dont really know how to explain the reasoning for this) whenever this number is positive, it goes left and whenever it is negative, it goes right. Figuring out if it shifts up or down is the same, look at the numbers +1 and +9 in the equations. If you go from +1 to +9, you would be adding 8, and this makes it shift upward.

Therefore the answer is the third one: the graph shifts 7 units left and 8 units up
8 0
3 years ago
Please help as soon as possible
scZoUnD [109]

Answer:

26.28

Step-by-step explanation:

First, add the side lengths of what you know. 6 + 6 + 8 = 20.

Then, find the circumference of the circle, BUT make sure you divide it by 2 because it is a semicircle in the figure.

The formula is 2\pir, so plug in the radius = 2

So the circumference is 4\pi, then divide by 2 to get 2

20 + 2\pi = 26.28

6 0
3 years ago
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vova2212 [387]
7x^2+10x^2= 17x^2
Answer. 17x^2+5y^3
6 0
2 years ago
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Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?​
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Answer:

3^81 is bigger

Step-by-step explanation:

3^81=4.43426488e38

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3 0
2 years ago
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